New Relations for Steady-State Enzyme Kinetics and Their Application to Rapid Equilibrium Assumption

Vrzheshch, P.V.

Автор: Vrzheshch P.V.
Журнал: Biophysics
Том: 58
Номер: 6
Год издания: 2013
Издательство: Maik Nauka/Interperiodica Publishing
Местоположение издательства: Russian Federation
Первая страница: 748
Последняя страница: 753
DOI: 10.1134/S0006350913060213
Аннотация: With the use of graph theory new relations for steady-state enzyme kinetics are derived and strictly proved for an arbitrary mechanism of an enzyme-catalysed reaction containing a reversible segment. Using these relations, a general principle for rapid equilibrium assumption is formulated and proved: reversible segment can be considered as an equilibrium segment with a prescribed accuracy only when the values of the base trees that are not proper to this segment can be neglected in relation to the values of the base trees that belong to this segment. In purpose of this article all the base trees are divided into two types: the base trees proper (i.e. that belong) to the segment and foreign (i.e. that not proper) to the segment. In contrast with the foreign base trees the base trees that are proper to the segment have the following properties: the tree that is directed to the base within this segment does not contain the edges leaving this segment; and the tree that is directed to the base outside the segment contains only one edge leaving this segment. Numerical expressions are obtained for the accuracy of determination of the intermediates concentrations as well as for the accuracy of determination of the rate of enzyme-catalysed reaction in case of using rapid equilibrium assumption.
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New Relations for Steady-State Enzyme Kinetics and Their Application to Rapid Equilibrium Assumptionстатья

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